Question

Two containers have $70$ and $175$litres of milk respectively. Find the maximum capacity of a container which can measure the milk in each container an exact number of times in litres.

Answer 1

The maximum capacity of a container that can be used to measure the milk in each of the containers an exact number of times in litres would be the HCF of the capacity of the two containers,

HCF of $70$ and $175$

Prime factorization of $70$

Prime Factorization of $175$

So $$\begin{gathered} 70=2\times 5\times 7 \\ 175=5\times 5\times 7 \end{gathered}$$

Thus HCF$=5\times 7=35$

Hence, the maximum capacity of container can be used is $35$$litres$.